The stem-and-leaf plot below shows the percentage scores on a recent sixth-grade science test.

Use the stem-and-leaf plot to determine the mode of the test scores.

The Stem-and-leaf Plot Below Shows The Percentage Scores On A Recent Sixth-grade Science Test.Use The

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Answer 1
If 8 | 2 = 82%, then the mode is 74%.

7 | 4 appears the most often.

Related Questions

Solve using square root (2x +1)^2 = 25

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x = 2, -3 is your answer

The answer is x = 2, -3

please help
ill give brainleist

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Answer:

1/6x + 47

1 2/3x+35 -1 1/2x +12

5(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)

Answers:

Options:

(B)
(C)
And (D)

helpppp- just match them pls

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Multiplication is division
Squaring is square root
Addition is minus
cubing is cube root
Multiplication -> Division
Squaring -> Taking the square root
Addition -> Subtraction
Cubing -> Taking the cube root

7th grade - Find the surface area of this trapezoidal prism. Please help ASAP I'll give brainliest!!!

Answers

Answer:

[tex]380 \text{ m}^2[/tex]

Step-by-step explanation:

To find the surface area of the trapezoidal pyramid, we can use the formula:

[tex]SA = 2(b) + (p \cdot d)[/tex],

where [tex]b[/tex] is the area of the base, [tex]p[/tex] is the perimeter of the base, and [tex]d[/tex] is the prism's depth.

First, we should find the area of the base using the area of a trapezoid formula.

[tex]A_\text{trap} = \dfrac{b_1 + b_2}{2} \cdot h[/tex]

[tex]b = \dfrac{15 + 5}{2} \cdot 7[/tex]

[tex]b = 10 \cdot 7[/tex]

[tex]b = 70 \text{ m}^2[/tex]

Now, we can plug the given dimensions along with the base area into the surface area formula.

[tex]SA = 2(b) + (p \cdot d)[/tex]

[tex]SA = 2(70) + ([15 + 10 + 5 + 10] \cdot 6)[/tex]

[tex]SA = 140 + (40 \cdot 6)[/tex]

[tex]SA = 140 + 240[/tex]

[tex]\boxed{SA = 380 \text{ m}^2}[/tex]

The answer would be 380m2

How far did I travel to reach my destination on each day of my three-day Trip? a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination. b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination. c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.

Answers

Answer: 81 miles

Step-by-step explanation:

The total distance traveled on the three-day trip is: 81 miles.

How did we get the value?

Denote the total distance of each day's journey by D1, D2, and D3, respectively. Then write equations based on the given identities:

a. (5/8)D1 + 15 = D1

(3/8)D1 = 15

D1 = 40 miles

So, the total distance traveled on Day 1 is 40 miles.

b. 18 + (2/5)D2 = D2

(3/5)D2 = 18

D2 = 30 miles

So, the total distance traveled on Day 2 is 30 miles.

c. (5/11)D3 + 6 = D3

(6/11)D3 = 6

D3 = 11 miles

So, the total distance traveled on Day 3 is 11 miles.

Therefore, the total distance traveled on the three-day trip is:

40 + 30 + 11 = 81 miles.

learn more about distance: https://brainly.com/question/26046491

#SPJ1

I NEED HELP FAST
The wheels on Noah's bike have a circumference of about 6 feet.
How far does the bike travel as the wheel makes 12 complete rotations?
Show your work

Answers

Answer:

72 feet

Step-by-step explanation:

Because the circumference is 6 feet, with every complete rotation, the bike travels 6 feet. Therefore, the bike will travel 72 feet when the wheel makes 12 complete rotations.

Feel free to tell me if I did anything wrong! :)

The answer is72 feet because 6x12 is 72ft

I NEED HELP ASAP!!!!!!

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Answer:

23. y intercept= -7 slope = 1/2

24. y-intercept = 4 slope = -1/3

Step-by-step explanation:

y=mx+b

y= slope x + y-intercept

PLSSSS HELP ME< I WILL GIVE BRAINLIEST!!!

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Answer:

x = 10

The shaded angles are each 31 degrees.

Step-by-step explanation:

I don't know if you are being asked to solve for x or the shaded angle, so we'll solve for both.

Those 2 shaded angles are equal to each other. So set them equal to each other & solve for x.

91-6x = 4x-9

91+9 = 4x+6x

100 = 10x

10 = x

Now substitute x=10 to find the measure of the shaded angles (which are equal).

91-6x = 91-6(10) = 91-60=31

The shaded angles are both 31 degrees .

YALL! WHAT IS THE ANSWER?! HELP ASAP!
q:
choose the different ways that a graph can be misleading (select all that apply)
a:
1- the y-axis starts at zero and uses consistent intervals
2- different bar heights are used on the same graph
3- the y-axis doesn't start at zero
4- the intervals on the y-axis are too large
5- different bar widths are used on the same graph
6- the y-axis starts at zero but has different intervals

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Answer:

Step-by-step explanation:

Here’s the answers :

6-The y -axis starts at zero but has different intervals.


5- Different bar widths are used on the same graph.


3- The y -axis doesn't start at zero.

Could someone explain this?

Answers

The minimum and the maximum are the lowest and highest numbers that were all given to you, in this case, 4 would be the minimum and 50 would be the maximum

Min: 4
Max: 50

Answer:

You must find the maximum i.e. the highest score and the minimum i.e. the least score.

In the given question, the lowest score is 4.

                                    the highest score is 50.

And there ya go!

six times the sum of a number and 4 equals 5. Please turn it into an equation :}

Answers

Answer:

6(x + 4) = 5

Step-by-step explanation:

We can break this sentence down into individual operations:

"six times" → this means 6 multiplied by some quantity

6 · ()

"the sum of a number and 4" → this is the quantity that we can put inside the parentheses (Note that "a number" is represented as a variable x, and a "sum" is the result of the addition of multiple numbers.)

6 · (x + 4)

"equals 5" → this is self-explanatory; the expression above is equal to 5

6(x + 4) = 5

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Note that multiplication with a value inside parentheses is implied.

For example,

4(5) = 4 · 5 = 20

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

We can solve for x in this equation to solve for "a number".

6(x + 4) = 5

↓ applying the distributive property ... a(b + c) = (a · b) + (a · c)

6x + (6 · 4) = 5

↓ simplifying

6x + 24 = 5

↓ subtracting 24 from both sides

6x = -19

↓ dividing both sides by 6

x = -19/6

6(x+4)=5, the 6 multiplies a number which will be X and four which equals five

Write this number in scientific notation.
Thank you!

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Answer:To write the number 0.0000149 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.

First, we move the decimal point to the right until there is only one non-zero digit to the left of the decimal point, which gives us:

1.49 × 10^-5

Since we moved the decimal point 5 places to the right, the exponent of 10 is negative 5.

Therefore, the scientific notation of 0.0000149 is 1.49 × 10^-5.

Step-by-step explanation:

Answer:

1.49×10^-5

Step-by-step explanation:

0.0000149=1.49×10^-5

it's to the power of -5 because it's a decimal number not a whole number

When playing a board game, Leilani rolls a number cube twice to determine her next move. In her past 10 moves, she’s rolled two 5s once. How many times does she expect to again roll two 5s in her next 30 moves? Which statement compares this prediction to the theoretical probability of rolling two 5s.

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Answer: Leilani has the probability of rolling two 5s three times on her next 30 moves.

Step-by-step explanation: If on average Leilani rolls once in 10, then we can predict that she will at least roll 3 in 30.

Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. (72÷8)−2×3+1 72÷(8−2)×3+1 72÷(8−2)×(3+1) 72÷8−2×(3+1) (pls show me a pitcher or something that is right!)

Answers

Least

72 ÷ 8 - 2 × (3 + 1) = 1

(72 ÷ 8) - 2 x 3 + 1 = 4

72 ÷ (8 - 2) × 3 + 1 = 37

72 ÷ (8-2) × (3 + 1) = 48

Greatest

To solve all of these, just follow the PEMDAS format (Parenthesis, Exponent, Multiply, Divide, Add, and Subtract)

Or just punch it in a calculator :)

Answer:

72 ÷ 8 - 2 × (3 + 1) = 1

(72 ÷ 8) - 2 x 3 + 1 = 4

72 ÷ (8 - 2) × 3 + 1 = 37

72 ÷ (8-2) × (3 + 1) = 48

Step-by-step explanation:

help need it now.
Use the net to find the surface area of the regular pyramid.

Number only. NO UNITS!

Answers

Answer:

40 in.²

Step-by-step explanation:

First, you have to find the area of the triangle, which you then multiply by 4 (because there are 4 triangles):

A=1/2(bh)

A=1/2(3x4)

A=1/2(12)

A=6

6x4=24 in.²

Next, you have to find the area of the square:

A=bh

A=4x4

A=16

Now, add 24 and 16 together to get your answer of 40 in.².

So so so so the the the answer is is is is is is is is 40 in.

Can you please help?

Answers

Answer:

30.68 cm²

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of semicircle

Given,

Height (h) = 4.5 cm

Base (b) = 9 cm

Diameter (d) = 5 cm

Formula

Area of the rectangle = bh

Area of the rectangle

= 9 x 4.5

= 40.5 cm²

Formula

Radius (r) = d/2

r = 5/2

r = 2.5 cm

Formula

Area of the semicircle = πr²/2

Note

The value of π is 3.14

Area of the semicirlce

= (3.14 x 2.5²)/2

= (3.14 x 2.5 x 2.5)/2

= 19.625/2

= 9.8125 cm²

Area of the shaded region

= Area of rectangle - Area of semicircle

= 40.5 - 9.8125

= 30.6875 cm²

~ 30.68 cm² approximately

HELPPPPPPPPP LOOK AT THE PICTURE!!

NO WRONG ANSWERS

Answers

first 3/4 second 2/4

Answer:

3/16

Step-by-step explanation:

There are 4 possible outcomes: 2, 3, 4, 5

There are 3 outcomes that are a number greater than 2: 3, 4, 5

There is 1 outcome that is a number less than 3: 2

p(greater than 2) = 3/4

p(less than 3) = 1/4

p(greater than 2 followed by less than 3) = 3/4 × 1/4 = 3/16

Give the measure of the angle that is complementary to the given angle. (Example 1)

Answers

Answer:

45

70

36

52

20

130

Step-by-step explanation:

complementary means it adds up to 90 degrees.

subtract that angle from 90 to get the complementary angle

supplementary angles add up to 180 degrees

subtract that angle from 180 to get the supplementary angle

Answer:

1) 45

2) 60

3) 36

4) 52

5) 20

6) 130

Step-by-step explanation:

In the first 3 questions, it's asking us for a complementary angle to the given angle.  A complementary angle is when 2 angles add up to 90 degrees.  So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45.  Continue to subtract from 90 for the next 2 problems.

In questions 4-6, we are asked to find an angle that is supplementary.  A supplementary angle is when 2 angles add up to 180 degrees.  We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees.  Continue subtracting from 180 for the next 2 problems.

Hope this helps! :)

What is the median of this data set?

Answers

Answer:

58

Step-by-step explanation:

It is the middle point/dot

in the box with the line

(58) the line in the box plot shows the median or in other words the most frequent occurrence of that amount statistically.

Write an equation to match each graph.....

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First graph matches with Y=|x-2|
Second graph matches with Y=|x-2|-2
y=|x-2|
y=|x-2|-2
these are an equation for both
hope this helps!!!

2, 3, 5, 9, 17, 22, 31, 39

Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17

Answers

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

16
2+3+5+9+17+22+31+39=128
128/8=16

PLEASE HELP ME FAST!!
The bottom of a bucket has a circumference of 63 in. What is the area of the bottom of the bucket ?
Show your work.
Don't forget to include the units.

Answers

3117.153 (unit (cm,m)squared)

please help me with these problems I will give brainlist

Answers

Step-by-step explanation:

Slope intercept form of a line is

y = mx + b      where    m = slope    b = intercept

1)   y = 2x + 4

3) y = -3/4 x  + 0   = - 3/4 x

I think you can see how to do the other two now......

Enter the missing numbers in the boxes to complete the table of equivalent ratios.

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Time:      Distance:

2              6

6              18

8              24

15             45

the distance (output) is 3 times larger than the time (input) so you have to multiply and divide to find the missing numbers.

Answer:

2 6

6 18

8 24

15 45

Step-by-step explanation:

6 = 18

X = 6

cross multiply

6 × 6 ÷ 18

=2

2 = 6

X = 24

Cross multiply

2 × 24 ÷ 6

= 8

2 = 6

15 = x

Cross multiply

6 × 15 ÷ 2

=45

Whats the ansewr to this one?

Answers

Answer:

  1/9

Step-by-step explanation:

You want the probability of rolling a sum of 5 when you roll two dice.

Sum of 5

There are 4 outcomes that have a sum of 5 when rolling two dice:

  (1, 4), (2, 3), (3, 2), (4, 1)

There are 36 total possible outcomes, so the probability of rolling a 5 is ...

  P(5) = 4/36 = 1/9

The probability of rolling a sum of 5 is 1/9.

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1/9
Gycnhchgchgcfgfyfdvhx churched tu hid hoy

can someone please help me

Answers

Answer: 60

Step-by-step explanation: all you have to do is add the sides and the two faces together, then add those results together. Boom. You have the answer.

I think the answer is 60

Questions 1 and 4
Please help ASAP bc it is due tmr

Answers

Answer: explanation

Step-by-step explanation:

I am unsure about number 1, but for number 4, you have to fund the unit rate.

Answer:

Answer for Number 1: 54 1/2

Answer for Number 4: $2.36

Step-by-step explanation:

Explanation for number 1:

    1.  length x width = area right? So area divided by length = width!

        159 3/8 divided by 18 3/4 = 8 1/2

    2. width + width + length + length = perimeter right? Now you know the

        width,  you can do...

         8 1/2 + 8 1/2 + 18 3/4 + 18 3/4 = 54 1/2

Explanation for number 4:

    1.  You know that 4 cup = 1 quart right?

        9.44 = 1 quart

    2. So you divide it:

        9.44 / 4 = $2.36

What is the area of a square with a perimeter of 55 cm

Answers

Answer:

Step-by-step explanation:

A= 189.06cm2

Answer:

Step-by-step explanation:

189.06cm2

Solve Using the Quadratic Formula
5x²-20x+20=0

Answers

x=2 that’s the answer
It should be x=2. Hope that helps!

Solve for m. 10+8m= – 10m–8
m=

Answers

Answer:

Step-by-step explanation: don't know

M= -1

Explanation:
Step 1: bring -8 to the left since it is less than 10. It would now be 18+8m= -10.

Step 2: you would then move 8 to the right side since you want them to be equal on both sides. it would now be 18= -18m

Step 3: Finally, you divide -18 since you want to find m;you would need to separate them

Answer is m= -1
Other Questions
Find the distance from point X to line p. Compare the amount of current entering a junction in a parallel circuit with that leaving the junction. (A junction is a point where three or more conductors are joined.) plssConsidering that the figure shows a square and congruent quarter circles, then the shaded area in the figure corresponds to (consider = 3) A RewardsChargeCard must use ChargeCard as its base class. Such a card has a reward rate - the percentage of money the user gets back as rewards for each charge transaction. The rewards are accumulated until used. When rewards are used, the accumulated reward amount is deposited into the card and accumulated reward amount is reset to zero. A ChargeCard must support the following calling syntaxes:ConstructorThe constructor should accept two required parameters, designating the spending limit on the card and the reward rate (as a float). Additionally, the constructor must accept an optional parameter that designates an initial balance (with the balance being 0 by default). For example, the syntax# using default value of balancecard = RewardsChargeCard(1000, 0.01)would create a new card, with spending limit of 1000, reward rate of 0.01, and an initial balance of zero.# specifying the value of balance explicitlycard = RewardsChargeCard(1000, 0.01, 100)would create a new card, with a spending limit of 1000, reward rate of 0.01, and an initial balance of 100.charge(amount)The RewardsChargeCard should override the parent class implementation of this method by:First calling the parent class implementation ofcharge(amount)Updating the value of accumulated rewards. Each charge transaction earns (amount * reward rate) toward the accumulated rewards. Rewards will only be added on valid transactions (if the charge is accepted).Returning True if the amount does not exceed the sum of the current card balance and the card limit, and False otherwise.For example, the following operations would result in the accumulated reward value 10.card=RewardChargeCard(10000, 0.01)card.charge(1000)If the charge is invalid (over the limit) the rewards are not added. For example, the following operations would result in no rewardscard = RewardChargeCard(10000, 0.01, 1000) # inital balance is 1000card.charge(10000) # charge is over the limit+balance, invalid operation, no rewardsgetRewards()A call to this method returns the value of accumulated rewards.useRewards()A call to this method applies the currently accumulated rewards to the balance and then sets the rewards total to 0. Applying rewards to the balance is identical to depositing money to the card, and a convenient way to apply accumulated rewards to the balance is by using the parent class deposit(amount) method and then setting the reward total to 0.To help you test your implementation of RewardsChargeCard, we provide you with a sample session that uses the RewardsChargeCard class:from RewardsChargeCard import RewardsChargeCard# spending limit of 10000, reward rate 0.03, initial balance 0visa = RewardsChargeCard(10000, 0.03)# returns True, as charge is accepted; new balance is 100.# accumulated reward value is 3visa.charge(100)# return value of 3.0 is displayedprint(visa.getRewards())# new balance is 1100# accumulated 30 for this transaction# total accumulated reward value is 33visa.charge(1000)# return value of 33.0 is displayedprint(visa.getRewards())# balance is adjusted to 1067# accumulated reward value is set to 0visa.useRewards()# return value of 1067.0 is displayedprint(visa.getBalance())# return value of 0 is displayedprint(visa.getRewards())# return False, as the amount we are charging is larger than the limit# no rewards should be addedvisa.charge(100000)# return value of 0 is displayedprint(visa.getRewards()) Additionally, we provide you with TestRewardsChargeCard.py script that uses Python unittest framework. Save ChargeCard.py, TestRewardsChargeCard.py and your implementation of RewardsChargeCard.py in the same directory. Then Run the TestRewardsChargeCard.py script and fix any errors that the script finds.Submit the single file, RewardsChargeCard.py, which should contain your implementation of the RewardsChargeCard class.PreviousNext A cone without a base is made from a quarter- circle. The base of the cone is a circle of radius 3 cm. What is the volume of the cone? Explain your reasoning. in 1971, when the consumer price index was 40.48, women earned a median income of $2,408 per year. if the consumer price index in 2012 was 229.6, how much was $2,408 in 2012 dollars? Suppose AD = Im (the m x m identity matrix). Show thatfor any b in Rm , the equation Ax = b has a solution.[Hint: Think about the equation AD b = b.] Explain why A cannothave more rows than columns. What is the current yield on $1000 par value bond that sells for $900 with the coupon rate is 10%? which of the following organizational structures best represents al capones illegal enterprises? PLEASE HELPPPThe Beginning of Brown James and Noel sat on the steps of their new house. It was going to be a hot day, but the boys preferred sitting outside to unpacking more boxes inside. Their mom was unpacking kitchen stuff, and the boys had grown tired of hearing her exclaim every time she unwrapped another of the teapots she hadn't seen in months."You'd think she'd have enough teapots by now," said James."Yeah," said Noel, "I don't get that excited about my Godzilla collection and that is way more interesting than any teapot.""And I'm sorry," said James, "but I know way too much about teapots for a boy my age."James then started listing all the things he knew about teapots. "There's the spout and the pouring angle," he began. But Noel had already tuned James out. The heat was rising and as tired as he was of his mother's teapots, he was more tired of James' complaining.Besides, there was a raggedy old dog down the street. Noel could tell, even from far away, this was a dog that belonged to no one. Its coat was matted. It had no collar. All he could see of the dog's face was its nose sticking out. Its coat was all brown, but a dirty, grayish brown, not the deep dark warm brown that made you feel safe."And there's that teapot with the flowers. The brown one with the little dots all in a row," James continued on his rant, now listing all the teapots he had unwrapped for Mom. Noel continued ignoring James and watched the dog.It was moving slowly in their general direction. It stopped at various spots along the curb to smell things. Sometimes the smelling took a very long time. Every now and then it would sit down to scratch behind its ear. Noel wondered if it was looking for something to eat.James jabbered on and Noel began to wonder how a dog came to be in such a sad condition as this one. Did no one ever want it? Even as a puppy, was this fellow not cute enough to find a good family? Had it always been this ugly? Hadn't anyone ever been kind to it? The dog was across the street now, one house over. It seemed to be particularly attracted to mailboxes and the plants around them. To Noel's mind, it appeared that the dog was greeting each family on the street.Noel watched the dog cross the street heading in their direction. He hadn't noticed it before, but the dog's head seemed rather large. It swung back and forth in front of its body, much like the bears Noel had seen at the zoo and on television. Noel could not see any eyes through all the matted hair. He could see gnats and flies hovering over the poor thing, waiting for it to sit down again.It lumbered toward them. Noel noticed that James had stopped talking. He looked over at his brother. Staring at the dog, James seemed to be a bit shocked or surprised, maybe even stunned."What is that?" James whispered.Instead of sniffing their mailbox and moving on like before, the dog started up the sidewalk toward the steps where they were sitting. Noel could hear the flies buzzing and see not just a few gnats, but a whole swarm around the dog. Bits of leaves and twigs hung in its hair. The dog continued toward them. Was it going to stop, wondered Noel. Should I get up and get in the house? But then, just when Noel felt a twinge of panic, the dog sat down, wagged its tail, and smiled. Noel had never seen anything like it before. It was as if the dog, flies and all, were posing for a photographer. It is going to be an interesting summer, thought Noel. Part A: Which of the following best summarizes the character of James as presented in this excerpt? Fill in blank 1 using A, B, or C.(A) Annoyed (B) Ill-tempered (C) Sympathetic Part B: Select one quotation from the text that supports your answer to Part A. Enter your selection in blank 2 using E, F, or G.(E) Their mom was unpacking kitchen stuff, and the boys had grown tired of hearing her exclaim every time she unwrapped another of the teapots she hadn't seen in months.(F) itd coat was all brown, but a dirty , grayish brown, not the deep dark warm brown that made you feel safe.(G) Noel began to wonder how a dog came to be in such a sad condition as this one. Did no one ever want it? Part CSelect another quotation from the text that supports your answer to Part A. Enter your selection in blank 3 using H, I, or J. (H) Even as a puppy, was this fellow not cute enough to find a good family? Had it always been this ugly? Hadn't anyone ever been kind to it? (I) Noel watched the dog cross the street heading in their direction. (J) He hadn't noticed it before, but the dog's head seemed rather large. rumor has it a new restaurant is coming to town called italia noodles. however, the owners are waiting to compare market commonalities and resource similarities to other local italian restaurants. italia noodles is conducting a: Why, in your opinion, would business executives shy away from the new approval process? 1911THE MATCHThere never was a time when the world was without fire, but there was a time when men did notknow how to kindle fire; and after they learned how to kindle one, it was a long, long time beforethey learned how to kindle one easily. In these days we can kindle a fire without any trouble,because we can easily get a match; but we must remember that the match is one of the mostwonderful things in the world, and that it took men thousands of years to learn how to make one.Let us learn the history of this familiar little object, the match.Fire was first given to man by nature itself. When a forest is set on fire by cinders from a neighboringvolcano, or when a tree is set ablaze by a thunderbolt, we may say that nature strikes a match. In theearly history of the world, nature had to kindle all the fires, for man by his own effort was unable toproduce a spark. The first method, then, of getting fire for use was to light sticks of wood at a flamekindled by nature-by a volcano, perhaps, or by a stroke of lightning. These firebrands were carried tothe home and used in kindling the fires there. The fire secured in this way was carefully guarded andwas kept burning as long as possible. But the flame, however faithfully watched, would sometimesbe extinguished. A sudden gust of wind or a sudden shower would put it out. Then a new firebrandwould have to be secured, and this often meant a long journey and a deal of trouble.In 1827, John Walker, a druggist in a small English town, tipped a splint with sulphur, chlorate ofpotash, and sulphid of antimony, and rubbed it on sandpaper, and it burst into flame. The druggisthad discovered the first friction-chemical match, the kind we use to-day. It is called friction-chemicalbecause it is made by mixing certain chemicals together and rubbing them. Although Walker's matchidid not require the bottle of acid, nevertheless it was not a good one. It could be lighted only by hardrubbing, and it sputtered and threw fire in all directions. In a few years, however, phosphorus wassubstituted on the tip for antimony, and the change worked wonders. The match could now belighted with very little rubbing, and it was no longer necessary to have sandpaper upon which to rubit. It would ignite when rubbed on any dry surface, and there was no longer any sputtering. This wasthe phosphorus match, the match with which we are so familiar,How does the author develop the idea that relying on nature was problematic? Please respond inthree to five complete sentences, using evidence from the text to support your answer. (5 points) find two numbers whose sum is 15 and whose product is 44. write the answers as integers or simplified fractions. D(x+2)(x+6)=0In the problem shown, to conclude that x+2=0 orx+6=0, one must use the:O zero product propertyO division propertyO transitive propertyO multiplication propertyHOI All the following were original members of the European Community, the predecessor to the European Union,EXCEPT(A) France (D) Italy(B) Belgium (E) The Netherlands(C) United Kingdom Please answer and explain so I can understand Following circuits are two implementations of 2-input AND gate. Which one is faster, and explain why? Is it consistent with your intuition? Assume = k = 2, Cgate = C X 2-NAND 2-NOR 6C A B When it comes to mate selection, too much choice is not always the best thing. in the book, paradox of choice, schwartz described two types of people. those who spend a lot of time and energy researching options often ended up less satisfied when they finally make a decision. schwartz labeled those people:___________. i. satisficers ii. sufficers iii. maximizers iv. decisionizers suppose that the following are the scores from a hypothetical sample of northern u.s. women for the attribute self-reliant. 4 1 3 5 2 Calculate the mean, degrees of freedom, variance, and standard deviation for this sample. 3.00 M df create an address class. addresses have a street number, a street, a city, state, and zip code. your class should include a constructor, tostring() and equals() methods.